Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
988 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 988 conjugacy classes of subgroups — too many to draw. Only its 549 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #23750351 | C2 | semidirect |
| 2. #23750334 | C2 | semidirect |
| 3. #23750253 | C2 | semidirect |
| 4. #23750182 | C2 | semidirect |
| 5. C2×#18011903 | C2 | semidirect |
| 39. #41×C149 | Q8 | semidirect |
| 74. C149 | #3504 | semidirect |
| 103. #41 | Dic298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750351 | 2 |
| #23750334 | 2 |
| #23750253 | 2 |
| #23750182 | 2 |
| C2×#18011903 | 2 |
| #23750108 | 2 |
| C4×#41×C149 | 2 |
| #3504 | 149 |